For , describe whether is positive, negative, or zero for in the interval , and…

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

For f(x)=xcot⁡xf(x)=x\cot x, describe whether f′(x)f'(x) is positive, negative, or zero for xx in the interval (0,π/2)(0,\pi/2), and briefly justify your answer.

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